Details

analyze593.0ms (18.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample2.0s (64.2%)

Results

1.0s	2687×	body	1024	valid
370.0ms	1364×	body	512	valid
324.0ms	3241×	body	128	valid
149.0ms	297×	body	2048	valid
109.0ms	667×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8
3	11	8

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 25 to 15 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

series9.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

9.0ms

(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

3.0ms

(/.f64 (exp.f64 x) (expm1.f64 x))

simplify86.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

825×	`fma-def_binary64`
587×	`div-sub_binary64`
548×	`times-frac_binary64`
500×	`fma-neg_binary64`
317×	`distribute-rgt-in_binary64`

Counts

41 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	559
1	130	521
2	292	519
3	609	519
4	1403	519
5	4001	519
6	5294	519

prune30.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

0.4b

Counts

41 → 3

Alt Table

Status	Error	Program
	19.3b	(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 1/12 x))) (.f64 1/720 (pow.f64 x 3)))
▶	19.0b	(+.f64 1/2 (/.f64 1 x))
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 487 to 182 computations (62.6% saved)

localize3.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

0.4b

Counts

3 → 3

Alt Table

Status	Error	Program
▶	19.3b	(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 1/12 x))) (.f64 1/720 (pow.f64 x 3)))
✓	19.0b	(+.f64 1/2 (/.f64 1 x))
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 44 to 35 computations (20.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 1/12 x))) (.f64 1/720 (pow.f64 x 3)))
✓	0.0b	(+.f64 (/.f64 1 x) (*.f64 1/12 x))
✓	0.1b	(*.f64 1/720 (pow.f64 x 3))
✓	0.3b	(*.f64 1/12 x)

series9.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 1/720 (pow.f64 x 3))
3.0ms	(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 1/12 x))) (.f64 1/720 (pow.f64 x 3)))
2.0ms	(+.f64 (/.f64 1 x) (*.f64 1/12 x))
2.0ms	(*.f64 1/12 x)

rewrite34.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
15×	`associate-r_binary64`
15×	`add-log-exp_binary64`

Counts

4 → 104

Calls

4 calls:

12.0ms	(+.f64 (/.f64 1 x) (*.f64 1/12 x))
10.0ms	(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 1/12 x))) (.f64 1/720 (pow.f64 x 3)))
5.0ms	(*.f64 1/720 (pow.f64 x 3))
3.0ms	(*.f64 1/12 x)

simplify93.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

646×	`times-frac_binary64`
483×	`fma-def_binary64`
417×	`fma-neg_binary64`
346×	`distribute-rgt-in_binary64`
337×	`distribute-lft-in_binary64`

Counts

116 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1622
1	346	1298
2	1079	1199
3	3790	1199
4	4952	1199
5	4696	1199

prune138.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Error

0.4b

Counts

162 → 3

Alt Table

Status	Error	Program
✓	19.3b	(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 1/12 x))) (.f64 1/720 (pow.f64 x 3)))
✓	19.0b	(+.f64 1/2 (/.f64 1 x))
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 3400 to 2708 computations (20.4% saved)

regimes44.0ms (1.4%)

Accuracy

Total 0.1b remaining (20.1%)

Threshold costs 0.1b (20.1%)

Counts

14 → 1

Compiler

Compiled 464 to 319 computations (31.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end52.0ms (1.6%)

Compiler: Compiled 40 to 30 computations (25% saved)

Details

analyze593.0ms (18.7%)

sample2.0s (64.2%)

simplify12.0ms (0.4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite4.0ms (0.1%)

simplify86.0ms (2.7%)

prune30.0ms (1%)

localize3.0ms (0.1%)

prune2.0ms (0.1%)

localize15.0ms (0.5%)

series9.0ms (0.3%)

rewrite34.0ms (1.1%)

simplify93.0ms (2.9%)

prune138.0ms (4.4%)

regimes44.0ms (1.4%)

simplify2.0ms (0.1%)

end52.0ms (1.6%)

Profiling